The concept of generalized sampling plans is defined and is shown to encompass numerous sampling plans that are comprised of a sequence of independent Bernoulli trials. For such plans, the probability distribution of a sufficient statistic and a simple unbiased estimator for the success probability are obtained. The variance of the unbiased estimator and the average sample size are used as measures of performance to compare several inverse binomial sampling plans within the context of generalized sampling plans. The plans examined incorporate curtailment, extended sampling, or both. Evaluation of the performance of the plans provides insight into situations in which they may be used advantageously.